Question

Transform the equation so that both terms with variables are on the left side of the equation.

Answer 1

Explanation:

P = height of Paul.

S = height of Steve.

t = height of Theresa.

P = 1 1/2 t - 16 = 3t/2 - 16

S = 1 1/3 t - 6 = 4t/3 - 6

because Paul and Steve have the same height, we can say

P = S

3t/2 - 16 = 4t/3 - 6

3t/2 - 10 = 4t/3

9t/2 - 30 = 4t

9t - 60 = 8t

t = 60

so,

Theresa is 60" tall.

Paul and Steve are 4×60/3 - 6 = 240/3 - 6 = 80 - 6 = 74" tall